SOLUTION: *The values of a,k,c and d cannot be 1 or 0* Create values of a, k, c and d to substitute in the general equation y = a sin [k(x-d)]+c a. Graph your equation b. How do y

Algebra ->  Test  -> Lessons -> SOLUTION: *The values of a,k,c and d cannot be 1 or 0* Create values of a, k, c and d to substitute in the general equation y = a sin [k(x-d)]+c a. Graph your equation b. How do y      Log On


   



Question 1062864: *The values of a,k,c and d cannot be 1 or 0*
Create values of a, k, c and d to substitute in the general equation y = a sin [k(x-d)]+c
a. Graph your equation
b. How do your values change the base function?
c. What values of a,k,c and d would do the opposite transformation? (for example: if your graph is shifted up from the base function, how do you change your a,k,c to make a new graph shift up)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The values of a,k,c and d cannot be 1 or 0*
Create values of a, k, c and d to substitute in the general equation y = a sin [k(x-d)]+c
a = 2 ; k = 3 ; c = 4 ; d = 5
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a. Graph your equation
graph%28400%2C400%2C-6%2C6%2C-10%2C10%2C2%2Asin%283%28x-5%29%29%2B3%29
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b. How do your values change the base function?
a = 2 changes the amplitude from 1 to 2
k = 3 changes the period from 2pi to (2/3)pi
c = 4 changes the range from [-1,1] to [3,5]
d = 5 causes the sine to shift 5 to the left
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c. What values of a,k,c and d would do the opposite transformation? (for example: if your graph is shifted up from the base function, how do you change your a,k,c to make a new graph shift up)
Comment:: You probably posted "c" incorrectly. I'll leave the answer to you.
Cheers,
Stan H.
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